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42774528 = 2123592
BaseRepresentation
bin1010001100101…
…1000000000000
32222111011121210
42203023000000
541422241103
64124450120
71026402036
oct243130000
988434553
1042774528
1122166155
12123a9940
138b28694
145976556
153b4de03
hex28cb000

42774528 has 78 divisors (see below), whose sum is σ = 116017324. Its totient is φ = 14016512.

The previous prime is 42774517. The next prime is 42774539. The reversal of 42774528 is 82547724.

It is an interprime number because it is at equal distance from previous prime (42774517) and next prime (42774539).

Its product of digits (125440) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 724963 + ... + 725021.

Almost surely, 242774528 is an apocalyptic number.

42774528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42774528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58008662).

42774528 is an abundant number, since it is smaller than the sum of its proper divisors (73242796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42774528 is an frugal number, since it uses more digits than its factorization.

42774528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 64 counting only the distinct ones).

The product of its digits is 125440, while the sum is 39.

The square root of 42774528 is about 6540.2238493801. The cubic root of 42774528 is about 349.7263929704.

The spelling of 42774528 in words is "forty-two million, seven hundred seventy-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 512 708 768 944 1024 1416 1536 1888 2048 2832 3072 3481 3776 4096 5664 6144 6962 7552 10443 11328 12288 13924 15104 20886 22656 27848 30208 41772 45312 55696 60416 83544 90624 111392 120832 167088 181248 222784 241664 334176 362496 445568 668352 724992 891136 1336704 1782272 2673408 3564544 5346816 7129088 10693632 14258176 21387264 42774528